10003210212000 has 384 divisors, whose sum is σ = 34668781056000. Its totient is φ = 2514416256000.

The previous prime is 10003210211987. The next prime is 10003210212137. The reversal of 10003210212000 is 21201230001.

It is a super-2 number, since 2×10003210212000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45261765 + ... + 45482235.

It is an arithmetic number, because the mean of its divisors is an integer number (90283284000).

Almost surely, 2^{10003210212000} is an apocalyptic number.

10003210212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003210212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17334390528000).

10003210212000 is an abundant number, since it is smaller than the sum of its proper divisors (24665570844000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10003210212000 is a wasteful number, since it uses less digits than its factorization.

10003210212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220717 (or 220699 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10003210212000 its reverse (21201230001), we get a palindrome (10024411442001).

The spelling of 10003210212000 in words is "ten trillion, three billion, two hundred ten million, two hundred twelve thousand".